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65M15 Error bounds (48 articles)

• Vacek, Karel; Sváček, Petr: On finite element approximation of fluid structure interaction by Taylor-Hood and Scott-Vogelius elements. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 259-268
• Hozman, Jiří; Tichý, Tomáš: Option valuation under the VG process by a DG method. (English). Applications of Mathematics, vol. 66 (2021), issue 6, pp. 857-886
• Hlavová, Marta: Curve reconstruction from a set of measured points. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 21-26, 2020. Institute of Mathematics CAS, Prague, 2021. pp. 50-58
• Pajerová, Nikola; Linkeová, Ivana: Triangular mesh analysis with application on hip bone. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 21-26, 2020. Institute of Mathematics CAS, Prague, 2021. pp. 79-88
• Hozman, Jiří; Tichý, Tomáš; Vlasák, Miloslav: DG method for pricing European options under Merton jump-diffusion model. (English). Applications of Mathematics, vol. 64 (2019), issue 5, pp. 501-530
• Bastl, Bohumír; Brandner, Marek; Egermaier, Jiří; Horníková, Hana; Michálková, Kristýna; Turnerová, Eva: Gradient-free and gradient-based methods for shape optimization of water turbine blade. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 15-26
• Zhang, Tie; Zhang, Shuhua: The gradient superconvergence of the finite volume method for a nonlinear elliptic problem of nonmonotone type. (English). Applications of Mathematics, vol. 60 (2015), issue 5, pp. 573-596
• Bradji, Abdallah; Fuhrmann, Jürgen: A new error estimate for a fully finite element discretization scheme for parabolic equations using Crank-Nicolson method. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 113-124
• Šebestová, Ivana: A posteriori upper and lower error bound of the high-order discontinuous Galerkin method for the heat conduction equation. (English). Applications of Mathematics, vol. 59 (2014), issue 2, pp. 121-144
• Bradji, Abdallah; Fuhrmann, Jürgen: Some new error estimates for finite element methods for second order hyperbolic equations using the Newmark method. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 125-136
• Bradji, Abdallah; Fuhrmann, Jürgen: Some abstract error estimates of a finite volume scheme for a nonstationary heat equation on general nonconforming multidimensional spatial meshes. (English). Applications of Mathematics, vol. 58 (2013), issue 1, pp. 1-38
• Kučera, Václav: Error estimates for nonlinear convective problems in the finite element method. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 136-141
• Šebestová, Ivana; Dolejší, V.: A posteriori error estimates of the discontinuous Galerkin method for the heat conduction equation. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 53 (2012), issue 1, pp. 77-94
• Vlasák, Miloslav; Kučera, Václav: A priori diffusion-uniform error estimates for singularly perturbed problems: Midpoint-DG discretization. (English). In: Chleboun, J., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 3-8, 2012. Institute of Mathematics AS CR, Prague, 2013. pp. 202-208
• Vinogradova, Polina; Zarubin, Anatoli: A study of Galerkin method for the heat convection equations. (English). Applications of Mathematics, vol. 57 (2012), issue 1, pp. 71-91
• Rashid, Abdur; Akram, Shakaib: Convergence of Fourier spectral method for resonant long-short nonlinear wave interaction. (English). Applications of Mathematics, vol. 55 (2010), issue 4, pp. 337-350
• Havle, Oto; Dolejší, Vít; Feistauer, Miloslav: Discontinuous Galerkin method for nonlinear convection-diffusion problems with mixed Dirichlet-Neumann boundary conditions. (English). Applications of Mathematics, vol. 55 (2010), issue 5, pp. 353-372
• Šebestová, Ivana; Dolejší, Vít: A posteriori error estimates of the discontinuous Galerkin method for parabolic problem. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 6-11, 2010. Institute of Mathematics AS CR, Prague, 2010. pp. 158-163
• Mlýnek, Jaroslav: The box method and some error estimation. (English). In: Chleboun, J., Přikryl, P., Segeth, K. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Dolní Maxov, June 1-6, 2008. Institute of Mathematics AS CR, Prague, 2008. pp. 150-156
• Feistauer, Miloslav; Hájek, Jaroslav; Švadlenka, Karel: Space-time discontinuos Galerkin method for solving nonstationary convection-diffusion-reaction problems. (English). Applications of Mathematics, vol. 52 (2007), issue 3, pp. 197-233
• Růžička, Michael: Modeling, mathematical and numerical analysis of electrorheological fluids. (English). Applications of Mathematics, vol. 49 (2004), issue 6, pp. 565-609
• Vejchodský, Tomáš: Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 129-151
• Faragó, István; Korotov, Sergey; Neittaanmäki, Pekka: Galerkin approximations for the linear parabolic equation with the third boundary condition. (English). Applications of Mathematics, vol. 48 (2003), issue 2, pp. 111-128
• Slodička, Marián: Recovery of an unknown flux in parabolic problems with nonstandard boundary conditions: Error estimates. (English). Applications of Mathematics, vol. 48 (2003), issue 1, pp. 49-66
• Dolejší, Vít; Feistauer, Miloslav; Felcman, Jiří; Kliková, Alice: Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems. (English). Applications of Mathematics, vol. 47 (2002), issue 4, pp. 301-340
• Dolejší, V.; Feistauer, M.; Schwab, C.: On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 163-179
• Dolejší, V.; Feistauer, M.; Schwab, C.: On discontinuous Galerkin methods for nonlinear convection-diffusion problems and compressible flow. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 65-80
• Brandts, Jan H.: A posteriori error estimation and adaptivity in the method of lines with mixed finite elements. (English). Applications of Mathematics, vol. 44 (1999), issue 6, pp. 407-419
• Kärkkäinen, Tommi: Error estimates for distributed parameter identification in parabolic problems with output least squares and Crank-Nicolson method. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 259-277
• Segeth, Karel: A posteriori error estimates for a nonlinear parabolic equation. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 255-262
• Shaw, Simon; Whiteman, J. R.: Some partial differential Volterra equation problems arising in viscoelasticity. (English). In: Agarwal, Ravi P., Neuman, F. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 1] Survey papers. Masaryk University, Brno, 1998. pp. 183-200
• Dalík, Josef; Růžičková, Helena: An explicit modified method of characteristics for the one-dimensional nonstationary convection-diffusion problem with dominating convection. (English). Applications of Mathematics, vol. 40 (1995), issue 5, pp. 367-380
• Rosca, Ioan; Sofonea, Mircea: Error estimates of an iterative method for a quasistatic elastic-visco-plastic problem. (English). Applications of Mathematics, vol. 39 (1994), issue 6, pp. 401-414
• Weisz, J.: On a method for a-posteriori error estimation of approximate solutions to parabolic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 735-740
• Segeth, Karel: A posteriori error estimates for parabolic differential systems solved by the finite element method of lines. (English). Applications of Mathematics, vol. 39 (1994), issue 6, pp. 415-443
• Segeth, Karel: Grid adjustment based on a posteriori error estimators. (English). Applications of Mathematics, vol. 38 (1993), issue 6, pp. 488-504
• Slodička, Marián: Semigroup formulation of Rothe's method: application to parabolic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 33 (1992), issue 2, pp. 245-260
• Slodička, Marian: Smoothing effect and discretization in time to semilinear parabolic equations with nonsmooth data. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 4, pp. 703-713
• Slodička, Marián: An investigation of convergence and error estimate of approximate solution for a quasilinear parabolic integrodifferential equation. (English). Aplikace matematiky, vol. 35 (1990), issue 1, pp. 16-27
• Slodička, Marián: Error estimate of approximate solution for a quasilinear parabolic integrodifferential equation in the $L_p$-space. (English). Aplikace matematiky, vol. 34 (1989), issue 6, pp. 439-448
• Kačur, Jozef: On $L_\infty$-convergence of Rothe's method. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 3, pp. 505-510
• Pluschke, Volker: Local solution of parabolic equations with strongly increasing nonlinearity by the Rothe method. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 4, pp. 642-654
• Dinh, Ta Van: Some fast finite-difference solvers for two-dimensional evolutionary equations on special domains. (English). Aplikace matematiky, vol. 27 (1982), issue 5, pp. 313-318
• Rektorys, Karel: The method of discretization in time and partial differential equations. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 293-296
• Axelsson, O.: On the numerical solution of nonlinear partial differential equations on divergence form. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [5]-15
• Hedstrom, Gerald W.: The accuracy of Dafermos' method for nonlinear hyperbolic equations. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 175-178
• Rektorys, Karel: Application of the Ritz method to the solution of parabolic boundary value problems of arbitrary order in the space variables. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 255-260
• Hlaváček, Ivan: On a semi-variational method for parabolic equations. I. (English). Aplikace matematiky, vol. 17 (1972), issue 5, pp. 327-351